Adding It Up: Helping Children Learn Mathematics

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Table of Contents
Front Matter R1-R20
Executive Summary 1-14
1 Looking at Mathematics and Learning 15-30
2 The State of School Mathematics in the United States 31-70
3 Number: What Is There to Know? 71-114
4 The Strands of Mathematical Proficiency 115-156
5 The Mathematical Knowledge Children Bring to School 157-180
6 Developing Proficiency with Whole Numbers 181-230
7 Developing Proficiency with Other Numbers 231-254
8 Developing Mathematical Proficiency Beyond Number 255-312
9 Teaching for Mathematical Proficiency 313-368
10 Developing Proficiency in Teaching Mathematics 369-406
11 Conclusions and Recommendations 407-432
Biographical Sketches 433-440
Index 441-454

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Box 6–14 A Common Algorithm for Multidigit Division

Box 6–15 Algorithm and Model for Multidigit Division

Accessible Division Algorithm: Take away copies of 46 until no more remain

Abbreviated Model: Build up copies of 46

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